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  • 1
    UID:
    almahu_9949195152002882
    Umfang: XXII, 248 p. 43 illus., 35 illus. in color. , online resource.
    Ausgabe: 1st ed. 2021.
    ISBN: 9783030802950
    Serie: Lecture Notes in Physics, 989
    Inhalt: This book provides an overview on transport theories, focusing on applications and the relativistic off-shell transport theory which are of particular interest for physicists working in the field of relativistic strong-interaction physics, e.g. relativistic or ultra-relativistic heavy-ion collisions or the evolution of the early universe. In this regard, a thorough derivation of the transport equations and a careful analysis of the approximations employed is given. The text is enriched with a multitude of Appendices that partly recall elements of quantum mechanics and field theory or present examples for specific models. Specific exercises are given throughout the chapters. As a basic knowledge the reader should be familiar with quantum mechanics and its principles as well as some basic concepts of the quantum many-body physics and field theory. All chapters close with a short summary and numerical calculations are provided to master and illustrate the subject.
    Anmerkung: Introduction -- Nonrelativistic on-shell kinetic theories -- Relativistic on-shell kinetic theories -- Relativistic dynamics and off-shell transport -- Appendices.
    In: Springer Nature eBook
    Weitere Ausg.: Printed edition: ISBN 9783030802943
    Weitere Ausg.: Printed edition: ISBN 9783030802967
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    UID:
    gbv_1775324028
    Umfang: 1 Online-Ressource (XXII, 248 Seiten)
    ISBN: 9783030802950
    Serie: Lecture notes in physics volume 989
    Inhalt: This book provides an overview on transport theories, focusing on applications and the relativistic off-shell transport theory which are of particular interest for physicists working in the field of relativistic strong-interaction physics, e.g. relativistic or ultra-relativistic heavy-ion collisions or the evolution of the early universe. In this regard, a thorough derivation of the transport equations and a careful analysis of the approximations employed is given. The text is enriched with a multitude of Appendices that partly recall elements of quantum mechanics and field theory or present examples for specific models. Specific exercises are given throughout the chapters. As a basic knowledge the reader should be familiar with quantum mechanics and its principles as well as some basic concepts of the quantum many-body physics and field theory. All chapters close with a short summary and numerical calculations are provided to master and illustrate the subject.
    Anmerkung: Introduction -- Nonrelativistic on-shell kinetic theories -- Relativistic on-shell kinetic theories -- Relativistic dynamics and off-shell transport -- Appendices.
    Weitere Ausg.: ISBN 9783030802943
    Weitere Ausg.: ISBN 9783030802967
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe Cassing, Wolfgang, 1953 - Transport theories for strongly-interacting systems Cham, Switzerland : Springer, 2021 ISBN 9783030802943
    Sprache: Englisch
    Fachgebiete: Physik
    RVK:
    Schlagwort(e): Transporttheorie ; Kinetische Theorie ; Nichtgleichgewicht
    URL: Cover
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 3
    Online-Ressource
    Online-Ressource
    Cham, Switzerland :Springer,
    UID:
    almafu_9960055357602883
    Umfang: 1 online resource (260 pages)
    ISBN: 3-030-80295-7
    Serie: Lecture notes in physics ; 989
    Anmerkung: Intro -- Preface -- Acknowledgements -- Contents -- About the Author -- Acronyms -- List of Figures -- 1 Introduction -- References -- 2 Nonrelativistic On-Shell Kinetic Theories -- 2.1 Time Evolution of N-body Interacting Fermi Systems -- 2.2 The Density-Matrix Formalism -- 2.2.1 Separation of Correlation Functions -- 2.2.2 Expansion Within a Single-Particle Basis -- 2.2.3 Conservation Laws -- 2.3 The Vlasov Equation -- 2.4 The Collision Term According to Uehling-Uhlenbeck -- 2.4.1 The Vlasov-Uehling-Uhlenbeck (VUU) Equation -- 2.5 Including Higher Order Interactions -- 2.5.1 Definition of Selfenergies -- 2.5.2 Effective Parametrizations for the G-matrix -- 2.5.3 Coupled-Channel Transport Equations -- 2.6 Numerical Solutions -- 2.6.1 Application to Low Energy Heavy-Ion Reactions -- 2.6.2 Summary -- Solution of Exercises -- References -- 3 Relativistic On-Shell Kinetic Theories -- 3.1 Covariant Transport Equations -- 3.1.1 Wigner Transformation and Gradient Expansion -- 3.1.2 Nuclear Equation of State in the QHD Model -- 3.1.3 The Local-Ensemble Method for the Solution of Binary Collision Terms -- 3.1.4 Application of RBUU to Au+Au Collisions at 1 A GeV -- 3.2 Multi-Particle Transitions -- 3.2.1 Baryon-Antibaryon Annihilation and Recreation -- 3.2.2 Numerical Implementation -- Solution of Exercises -- Solution of Exercises -- References -- 4 Relativistic Dynamics and Off-Shell Transport -- 4.1 Relativistic Formulations -- 4.1.1 Two-Point Functions on the CTP -- 4.1.2 The Dyson-Schwinger Equation on the CTP -- 4.1.3 Kadanoff-Baym Equations -- 4.1.4 Definition of Selfenergies -- 4.1.5 Application to the Scalar ϕ4-Theory -- 4.1.6 Homogeneous Systems in Space -- 4.1.7 The Spectral Function -- 4.1.8 Results in First-Order Gradient Expansion -- 4.1.9 The Equilibrium Distribution -- 4.2 Full Versus Approximate Dynamics. , 4.2.1 Derivation of the Quantum Boltzmann Approximation -- 4.2.2 Boltzmann vs. Kadanoff-Baym dynamics -- 4.3 Derivation of Off-Shell Relativistic Transport Theory -- 4.3.1 Kadanoff-Baym Transport -- 4.3.2 Transport in the Botermans-Malfliet Scheme -- 4.3.3 Testparticle Representation -- 4.3.4 Model Studies -- 4.4 Kadanoff-Baym Dynamics for Fermions -- 4.4.1 Two-Point Functions on the CTP -- 4.4.2 Definition of Selfenergies -- 4.4.3 Spectral Functions -- 4.5 Spectral Evolution of Vector Mesons in Heavy-Ion Collisions at 2 A GeV -- 4.6 Electromagnetic Field Evolution in Ultra-Relativistic Collisions -- 4.6.1 Electromagnetic Fields in Au+Au Collisions at s= 200 GeV -- 4.6.2 Electromagnetic Fields in Cu+Au Collisions at s= 200 GeV -- Solution of Exercises -- References -- A The Time Evolution Operator -- A.1 Schrödinger Picture -- A.2 Heisenberg Picture -- A.3 Interaction or Dirac Picture -- B Trace Relations for n-Body Correlations -- C The Two-Body Problem in Vacuum -- D Periodic Boundary Conditions -- E Phase-Space Integrals -- F Kramers-Kronig Relation -- G Lorentz Transformations, γ-Matrices, and Dirac-Algebra -- G.1 Lorentz-Goup: Scalars, Vectors, Tensors -- G.2 Dirac Equation and Dirac-Clifford Algebra -- G.3 Solutions of the Free Dirac Equation -- G.4 Quantization of the Free Dirac Field -- G.5 Transformation Properties of Dirac Spinors -- G.6 Green's Function of the Free Dirac Field -- H Density-Dependent Relativistic Mean-Field Theory -- H.1 Equations of Motion -- H.2 Thermodynamics and Thermodynamic Consistency -- Index.
    Weitere Ausg.: ISBN 3-030-80294-9
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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